Reflection: Diverse Entry Points Area vs. Circumference - Section 1: Do Now


I was interested to see the different strategies that students used to make an estimate for the area of the circle.  This student created two squares.  He explained that the area of the circle was larger than 4 square units, but smaller than 16 square units.  Another student used this strategy to estimate that the area was  around 14 square units, since the extra blank space inside the 4 by 4 square added up to about 2 square units, so 16 – 2 = 14.  Another student created 4 identical triangles inside the circle that measured 2 by 2 units.  The student explained that each triangle was 2 square units, so her estimate for the area of the circle was about 8 square units.  When I asked her, she was able to recognize that 8 square units would be a low estimate.

During the closure, we revisited this circle and students used the formula to find the precise area.

  Diverse Entry Points: Student Strategies
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Area vs. Circumference

Unit 8: Geometry
Lesson 6 of 19

Objective: SWBAT: • Identify and find the radius and diameter of a circle. • Estimate the area of a circle. • Find the area and circumference of a circle using a formula. • Determine whether to find circumference or area of a circle given a situation.

Big Idea: Make an estimate for the area of each circle. How can we calculate a more exact area? Students develop an estimate for a circle’s area and learn the formula. Then students must apply their knowledge to determine whether they calculate area or circumferen

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21 teachers like this lesson
Math, Geometry, circumference, 7th grade, 6th grade, master teacher project, area of a circle
  50 minutes
unit 7 5 image
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